The step that describes the construction of a perpendicular line using the folding paper method, without bisecting the segment, would be:
Fold the paper to make a fold on the given segment.
This statement implies that you're creating a perpendicular line at a specific point on the segment without necessarily bisecting it. The other options either involve matching endpoints or imply a bisection, which is not what is needed for constructing a non-perpendicular bisector line.